If now the compound is again dissolved or heated, the emanation escapes.
Since the active deposit is not volatile and is insoluble in water, it
is not removed by the process of solution or heating. Since, however,
the parent matter is removed, the activity due to the active deposit
will immediately begin to decay, and in the course of a few hours will
have almost disappeared. The activity of the radium measured by the α
rays is then found to be about 25 per cent. of its original value. This
residual activity of radium, consisting entirely of α rays, is
non-separable, and has not been further diminished by chemical or
physical means. Rutherford and Soddy[314] examined the effect of
aspiration for long intervals through a radium chloride solution. After
the first few hours the activity was found to be reduced to 25 per
cent., and further aspiration for three weeks did not produce any
further diminution. The radium was then evaporated to dryness, and the
rise of its activity with time determined. The results are shown in the
following table. The final activity in the second column is taken as one
hundred. In column 3 is given the percentage proportion of the activity
recovered.
Time in Activity Percentage
days Activity
recovered
0 25·0 0
0·70 33·7 11·7
1·77 42·7 23·7
4·75 68·5 58·0
7·83 83·5 78·0
16·0 96·0 95·0
21·0 100·0 100·0
The results are shown graphically in Fig. 85.
The decay curve of the radium emanation is shown in the same figure. The
curve of recovery of the lost activity of radium is thus analogous to
the curves of recovery of uranium and thorium which have been freed from
the active products Ur X and Th X respectively. The intensity _I_{t}_ of
the recovered activity at any time is given by
$$ \frac {I_t} {I₀} = 1 − e^{–λt} $$,
where _I₀_ is the final value, and λ is the radio-active constant of the
emanation. The decay and recovery curves are complementary to one
another.
[Illustration: Fig. 85.]
Knowing the rate of decay of activity of the radium emanation, the
recovery curve of the activity of radium can thus at once be deduced,
provided all of the emanation formed is occluded in the radium compound.
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